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86260980339 = 32313724134673
BaseRepresentation
bin101000001010110001…
…1100001101001110011
322020122200020211101200
41100111203201221303
52403130302332324
6103343332102243
76142425143412
oct1202543415163
9266580224350
1086260980339
11336460902a6
1214874764983
1381992b9101
1442644c1479
15239cea8ec9
hex14158e1a73

86260980339 has 48 divisors (see below), whose sum is σ = 132646635264. Its totient is φ = 53921894400.

The previous prime is 86260980331. The next prime is 86260980341. The reversal of 86260980339 is 93308906268.

86260980339 is a `hidden beast` number, since 8 + 626 + 0 + 9 + 8 + 0 + 3 + 3 + 9 = 666.

It is not a de Polignac number, because 86260980339 - 23 = 86260980331 is a prime.

It is not an unprimeable number, because it can be changed into a prime (86260980331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2470507 + ... + 2505179.

It is an arithmetic number, because the mean of its divisors is an integer number (2763471568).

Almost surely, 286260980339 is an apocalyptic number.

86260980339 is a deficient number, since it is larger than the sum of its proper divisors (46385654925).

86260980339 is a wasteful number, since it uses less digits than its factorization.

86260980339 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34988 (or 34985 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 86260980339 in words is "eighty-six billion, two hundred sixty million, nine hundred eighty thousand, three hundred thirty-nine".

Divisors: 1 3 9 31 37 93 111 241 279 333 723 1147 2169 3441 7471 8917 10323 22413 26751 34673 67239 80253 104019 276427 312057 829281 1074863 1282901 2487843 3224589 3848703 8356193 9673767 11546109 25068579 39769931 75205737 119309793 259041983 309179141 357929379 777125949 927537423 2331377847 2782612269 9584553371 28753660113 86260980339